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Finding the Fourth Proportional to 205.47, 283.91 and 162.14

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Solution

The fourth proportional to 205.47, 283.91 and 162.14 is: 224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.47 : 283.91 = 162.14 : x
  2. Step 2: Convert to fraction form
    205.47/283.91 = 162.14/x
  3. Step 3: Cross multiply
    205.47x = 283.91 × 162.14
  4. Step 4: Simplify right side
    205.47x = 46,030.94
  5. Step 5: Solve for x
    x = 46,030.94/205.47
  6. Step 6: Final answer
    x = 224.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.